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Finding the Fourth Proportional to 385,828.40, 578,051.40 and 330,532.40

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Solution

The fourth proportional to 385,828.40, 578,051.40 and 330,532.40 is: 495,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,828.40 : 578,051.40 = 330,532.40 : x
  2. Step 2: Convert to fraction form
    385,828.40/578,051.40 = 330,532.40/x
  3. Step 3: Cross multiply
    385,828.40x = 578,051.40 × 330,532.40
  4. Step 4: Simplify right side
    385,828.40x = 191,064,716,565.36
  5. Step 5: Solve for x
    x = 191,064,716,565.36/385,828.40
  6. Step 6: Final answer
    x = 495,206.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.